(5x+30)+(7x-20)=180

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Solution for (5x+30)+(7x-20)=180 equation:


Simplifying
(5x + 30) + (7x + -20) = 180

Reorder the terms:
(30 + 5x) + (7x + -20) = 180

Remove parenthesis around (30 + 5x)
30 + 5x + (7x + -20) = 180

Reorder the terms:
30 + 5x + (-20 + 7x) = 180

Remove parenthesis around (-20 + 7x)
30 + 5x + -20 + 7x = 180

Reorder the terms:
30 + -20 + 5x + 7x = 180

Combine like terms: 30 + -20 = 10
10 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
10 + 12x = 180

Solving
10 + 12x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 12x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 180 + -10
12x = 180 + -10

Combine like terms: 180 + -10 = 170
12x = 170

Divide each side by '12'.
x = 14.16666667

Simplifying
x = 14.16666667

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